Apollonius <Pergaeus> - Apollonii Pergaei Conicorvm Lib. V. VI. VII. paraphraste Abalphato Asphahanensi : nunc primum editi ; additvs in calce Archimedis assvmptorvm liber, ex codibvs arabicis mss Abrahamus Ecchellensis Maronita latinos reddidit, Jo. Alfonsvs Borellvs curam in geometricis versione contulit & [et] notas vberiores in vniuersum opus adiecit

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311273Conicor. Lib. VII. ducatur B E perpendicularis ad axim eum ſecans in E, tunc quidem axis ſeg-
mentum C E ab oppoſito vertice C ductum, vocat interpres Latus. Poſtea ſum-
mam in prima ellipſi, & differentiam in reliquis figuris lateris C E, & inter-
ceptæ H C, nimirum ipſam lineam H E, vocat Interceptam comparatam.

VI. Et lateris C E, & præſectæ G C differentia in tribus prioribus figuris,
& ſumma in figura quarta, ideſt G E, vocatur Præſecta comparata.

VII. Ducantur in ellipſi A B C duæ diametri coniugatæ I L, & N O, quæ
inter ſe ſint æquales. Vel tranſuerſa I L ad eius latus rectum eandem propor-
tionem habeat, quàm eius coniugata N O ad ſuum latus rectum; tunc quidem
vocat pariter diametros coniugatas I L, N O AEquales.

358[Figure 358]

SECTIO PRIMA

Continens Propoſit. I. V. & XXIII.
Apollonij.

PROPOSITIO I.

SI in parabola A B à termino

359[Figure 359] axis A D educatur recta linea
A B ſubtendens ſegmentum @ectionis
A B, & ab eius termino ducatur B
D ad axim perpendicularis; vtiquè
illa chorda poterit eius abſciſſam D
A in aggregatum abſciſſæ, & erecti.

Fiat A F æqualis erecto A E. Quia
11a quadratum A B eſt æquale quadrato D

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